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Finding the Fourth Proportional to 586.17, 879.38 and 175.34

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Solution

The fourth proportional to 586.17, 879.38 and 175.34 is: 263.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.17 : 879.38 = 175.34 : x
  2. Step 2: Convert to fraction form
    586.17/879.38 = 175.34/x
  3. Step 3: Cross multiply
    586.17x = 879.38 × 175.34
  4. Step 4: Simplify right side
    586.17x = 154,190.49
  5. Step 5: Solve for x
    x = 154,190.49/586.17
  6. Step 6: Final answer
    x = 263.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.